A CLASS OF LOCALLY NILPOTENT COMMUTATIVE ALGEBRAS

被引：2

作者：

Behn, Antonio ^{[1
]}

Elduque, Alberto ^{[2
,3
]}

Labra, Alicia ^{[1
]}

机构：

[1] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

[2] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[3] Univ Zaragoza, Inst Univ Matemat & Aplicac, E-50009 Zaragoza, Spain

来源：

INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2011年 / 21卷 / 05期

关键词：

Commutative algebra; nilpotent; local; NILALGEBRAS;

D O I：

10.1142/S0218196711006455

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the variety of commutative non associative algebras satisfying the identity L(x)(3) + gamma L(x3) = 0, gamma is an element of K. In [3] it is proved that if gamma = 0, 1 then any finitely generated algebra is nilpotent. Here we generalize this result by proving that if gamma not equal -1, then any such algebra is locally nilpotent. Our results require characteristic not equal 2, 3.

引用

页码：763 / 774

页数：12

共 13 条

[1] POWER-ASSOCIATIVE RINGS [J].